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Finding the Fourth Proportional to 3,234.40, 4,855.20 and 3,022.90

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Solution

The fourth proportional to 3,234.40, 4,855.20 and 3,022.90 is: 4,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.40 : 4,855.20 = 3,022.90 : x
  2. Step 2: Convert to fraction form
    3,234.40/4,855.20 = 3,022.90/x
  3. Step 3: Cross multiply
    3,234.40x = 4,855.20 × 3,022.90
  4. Step 4: Simplify right side
    3,234.40x = 14,676,784.08
  5. Step 5: Solve for x
    x = 14,676,784.08/3,234.40
  6. Step 6: Final answer
    x = 4,537.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.